Embedded trapped modes for water waves in an infinite channel
UDC 517.9 We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequ...
Saved in:
| Date: | 2026 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8874 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513336419942400 |
|---|---|
| author | Rodríguez, M. I. Romero Rodríguez, M. I. Romero |
| author_facet | Rodríguez, M. I. Romero Rodríguez, M. I. Romero |
| author_sort | Rodríguez, M. I. Romero |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:33:57Z |
| description | UDC 517.9
We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequencies is obtained. |
| doi_str_mv | 10.3842/umzh.v77i9.8874 |
| first_indexed | 2026-03-24T03:43:04Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8874 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:43:04Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-88742026-03-21T13:33:57Z Embedded trapped modes for water waves in an infinite channel Embedded trapped modes for water waves in an infinite channel Rodríguez, M. I. Romero Rodríguez, M. I. Romero Trapped modes water waves UDC 517.9 We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequencies is obtained. УДК 517.9 Вбудовані захоплені моди хвиль на воді в нескінченному каналі Наведено просту схему збурень для обчислення частот водяних хвиль, що захоплені малою перешкодою на дні води. Відповідні розв’язки описують вбудовані захоплені моди, які локалізовані біля перешкоди та затухають на нескінченності. Отримано просту формулу для їхніх частот. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8874 10.3842/umzh.v77i9.8874 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 9 (2025); 594 Український математичний журнал; Том 77 № 9 (2025); 594 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8874/10565 Copyright (c) 2025 M. I. Romero Rodríguez |
| spellingShingle | Rodríguez, M. I. Romero Rodríguez, M. I. Romero Embedded trapped modes for water waves in an infinite channel |
| title | Embedded trapped modes for water waves in an infinite channel |
| title_alt | Embedded trapped modes for water waves in an infinite channel |
| title_full | Embedded trapped modes for water waves in an infinite channel |
| title_fullStr | Embedded trapped modes for water waves in an infinite channel |
| title_full_unstemmed | Embedded trapped modes for water waves in an infinite channel |
| title_short | Embedded trapped modes for water waves in an infinite channel |
| title_sort | embedded trapped modes for water waves in an infinite channel |
| topic_facet | Trapped modes water waves |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8874 |
| work_keys_str_mv | AT rodriguezmiromero embeddedtrappedmodesforwaterwavesinaninfinitechannel AT rodriguezmiromero embeddedtrappedmodesforwaterwavesinaninfinitechannel |